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Anuta_ua [19.1K]
3 years ago
13

How is sigma notation used to evaluate a series?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0
The sigma indicates sum.
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​One-third of a number is 1 more than ​one-fourth of the same number.<br> What is the number?
konstantin123 [22]

Answer:

  12

Step-by-step explanation:

1/3 of 12 = 4

1/4 of 12 = 3

4 is 1 more than 3.

The number is 12.

_____

If this does not immediately come to mind, you can solve for the number, x:

  x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1

  x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)

  x = 12 . . . . . . . . multiply by 12

7 0
3 years ago
Check the true statements below:
valentinak56 [21]

Answer:

a) False

b) False

c) True

d) False

e) False

Step-by-step explanation:

a. A single vector by itself is linearly dependent. False

If v = 0 then the only scalar c such that cv = 0 is c = 0. Hence, 1vl is linearly independent. A set consisting of a single vector v is linearly dependent if and only if v = 0. Therefore, only a single zero vector is linearly dependent, while any set consisting of a single nonzero vector is linearly independent.

b. If H= Span{b1,....bp}, then {b1,...bp} is a basis for H. False

A sets forms a basis for vector space, only if it is linearly independent and spans the space. The fact that it is a spanning set alone is not sufficient enough to form a basis.

c. The columns of an invertible n × n matrix form a basis for Rⁿ. True

If a matrix is invertible, then its columns are linearly independent and every row has a pivot element. The columns, can therefore, form a basis for Rⁿ.

d.  In some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix. False

Row operations can not affect linear dependence among the columns of a matrix.

e. A basis is a spanning set that is as large as possible. False

A basis is not a large spanning set. A basis is the smallest spanning set.

3 0
3 years ago
If tn = 4n+1, find t1, t2, t3, and tn+1. Express tn+1−tn in its simplest form.
Doss [256]

Answer:

t_1=5

t_2=9

t_3=13

t_{n+1}-t_n=4

Step-by-step explanation:

We have that:

t_n=4n+1

When we substitute n=1, we get:

t_1=4*1+1=5

When we substitute n=2 we get:

t_2=4*2+1=9

When we substitute n=3, we get:

t_3=4*3+1=13

When we substitute n=n+1, we get:

t_{n+1}=4*(n+1)+1=4n+5

Now

t_{n+1}-t_n=4n+5-(4n+1)

We expand and simplify to obtain:

t_{n+1}-t_n=4n+5-4n-1

t_{n+1}-t_n=4

3 0
3 years ago
Jada’s hamster walked 4.5 feet, and then half of that length again
labwork [276]

Answer:

Jada's hamster walked a total of 6.75 feet.

Step-by-step explanation:

If this was not the answer you were looking for just let me know and i will help as much as i can.

6 0
3 years ago
The equation of the graphed line is 2x – y = –6.<br><br><br> What is the x-intercept of the graph?
Bas_tet [7]
U can either look at ur graph...and where the line crosses the x axis is ur x intercept...which is (-3,0)

OR

take ur equation and sub in 0 for y, and solve for x, ur x intercept.
2x - y = -6
2x - 0 = -6
2x = -6
x = -6/2
x = -3.....so ur x intercept is (-3,0)
4 0
3 years ago
Read 2 more answers
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